GL-algebras in positive characteristic I: the exterior algebra
arXiv:2203.03693 · doi:10.1007/s00029-024-00960-4
Abstract
We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumford regularity. We also prove finiteness results for local cohomology.
arXiv comment27 pages; change in title and other minor improvements
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